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102222120312 = 233313311174319
BaseRepresentation
bin101111100110011101…
…0011100010101111000
3100202212000221202021000
41133030322130111320
53133322330322222
6114543222445000
710246105454244
oct1371472342570
9322760852230
10102222120312
113a3967a3a74
1217989b93760
139840cb7630
144d3a219424
1529d43759ac
hex17cce9c578

102222120312 has 128 divisors (see below), whose sum is σ = 315657216000. Its totient is φ = 30438322560.

The previous prime is 102222120307. The next prime is 102222120323. The reversal of 102222120312 is 213021222201.

102222120312 is a `hidden beast` number, since 10 + 2 + 222 + 120 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500112 + ... + 674207.

It is an arithmetic number, because the mean of its divisors is an integer number (2466072000).

Almost surely, 2102222120312 is an apocalyptic number.

102222120312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102222120312 is an abundant number, since it is smaller than the sum of its proper divisors (213435095688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102222120312 is a wasteful number, since it uses less digits than its factorization.

102222120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174378 (or 1174368 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102222120312 its reverse (213021222201), we get a palindrome (315243342513).

The spelling of 102222120312 in words is "one hundred two billion, two hundred twenty-two million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 31 36 39 52 54 62 72 78 93 104 108 117 124 156 186 216 234 248 279 312 351 372 403 468 558 702 744 806 837 936 1116 1209 1404 1612 1674 2232 2418 2808 3224 3348 3627 4836 6696 7254 9672 10881 14508 21762 29016 43524 87048 1174319 2348638 3522957 4697276 7045914 9394552 10568871 14091828 15266147 21137742 28183656 30532294 31706613 36403889 42275484 45798441 61064588 63413226 72807778 84550968 91596882 109211667 122129176 126826452 137395323 145615556 183193764 218423334 253652904 274790646 291231112 327635001 366387528 412185969 436846668 473250557 549581292 655270002 824371938 873693336 946501114 982905003 1099162584 1310540004 1419751671 1648743876 1893002228 1965810006 2621080008 2839503342 3297487752 3786004456 3931620012 4259255013 5679006684 7863240024 8518510026 11358013368 12777765039 17037020052 25555530078 34074040104 51111060156 102222120312